By Jaume Llibre,Rafael Ramírez
This e-book is devoted to check the inverse challenge of ordinary
differential equations, that's it focuses to find all traditional differential
equations that fulfill a given set of homes. The Nambu bracket is the
central device in constructing this strategy. The authors begin characterizing the
ordinary differential equations in R^N that have a given set of partial
integrals or first integrals. the consequences acquired are utilized first to planar
polynomial differential structures with a given set of such integrals, moment to
solve the sixteenth Hilbert challenge constrained to wide-spread algebraic restrict cycles,
third for fixing the inverse challenge for limited Lagrangian and
Hamiltonian mechanical structures, fourth for learning the integrability of a
constrained inflexible physique. eventually the authors finish with an research on
nonholonomic mechanics, a generalization of the Hamiltonian precept, and the
statement an resolution of the inverse challenge in vakonomic mechanics.
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Extra info for Inverse Problems in Ordinary Differential Equations and Applications (Progress in Mathematics)
Inverse Problems in Ordinary Differential Equations and Applications (Progress in Mathematics) by Jaume Llibre,Rafael Ramírez